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CGP EDU Academic Team
Published on: August 14, 2026
Let the normals at points A (4a, - 4a) and B (9a, -6a) on the parabola y 2 = 4ax meet at the point P. The equation of the normal from P ony 2 = 4ax (other than PA and PB) is
Text Solution
Verified by ExpertsThe correct answer is:
A
5x + y - 135a = 0
Let, A = 
, B = 
and the foot of the required normal is 
, then
2at 1 = -4a, 2at 2 = -6a and t 1 + t 2 + t 3 = 0
t 1 = -2, t 2 = -3 and -2 - 3 + t 3 = 0
t 3 =5
Hence, the equation of the required normal is y = -t 3 x + 2at 3 + 
y = -5x + 10a + 125a
y + 5x - 135a = 0
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